Finding the Third Proportional to 2,188.50 and 4,785

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.50 : 4,785 = 4,785 : x
2. Step 2: Convert to fraction form
   2,188.50/4,785 = 4,785/x
3. Step 3: Cross multiply
   2,188.50x = 4,785 × 4,785
4. Step 4: Simplify right side
   2,188.50x = 22,896,225
5. Step 5: Solve for x
   x = 22,896,225/2,188.50
6. Step 6: Final answer
   x = 10,462.06